Khavkine I. Applications of complexes of differential operators in gauge theories (abstract)

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Speaker: Igor Khavkine

Title: Applications of complexes of differential operators in gauge theories

Abstract:
In mathematical physics, gauge theories are variational PDEs that have gauge symmetries (symmetries locally parametrized by differential operators). Generators of gauge symmetries naturally fit into certain complexes of differential operators. From the point of view of the formal integrability theory of PDEs, these are the corresponding compatibility complexes. I will discuss the structure of these complexes and the possible roles played by their cohomology.


Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.